164388495600 has 600 divisors, whose sum is σ = 683564835360. Its totient is φ = 37056061440.

The previous prime is 164388495599. The next prime is 164388495611. The reversal of 164388495600 is 6594883461.

164388495600 is a `hidden beast` number, since 1 + 6 + 4 + 38 + 8 + 49 + 560 + 0 = 666.

164388495600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16551436 + ... + 16561364.

Almost surely, 2^164388495600 is an apocalyptic number.

164388495600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164388495600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341782417680).

164388495600 is an abundant number, since it is smaller than the sum of its proper divisors (519176339760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164388495600 is a wasteful number, since it uses less digits than its factorization.

164388495600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 164388495600 in words is "one hundred sixty-four billion, three hundred eighty-eight million, four hundred ninety-five thousand, six hundred".